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Hyperfinite Dirichlet Forms and Stochastic Processes

Hyperfinite Dirichlet Forms and Stochastic Processes
Catalogue Information
Field name Details
Dewey Class 511.3
Title Hyperfinite Dirichlet Forms and Stochastic Processes ([Ebook]) / by Sergio Albeverio, Ruzong Fan, Frederik Herzberg.
Author Albeverio, Sergio
Added Personal Name Fan, Ruzong
Herzberg, Frederik
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 2011.
Physical Details XIV, 284 pages, 1 illus. in color. : online resource.
Series Lecture Notes of the Unione Matematica Italiana 1862-9113 ; ; 10
ISBN 9783642196591
Summary Note This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces.  The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-642-19659-1
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